gravity_anomaly

  • Calculates the gravity anomaly at a given latitude and longitude using different methods

Calling Sequence

from geoid_toolkit.gravity_anomaly import gravity_anomaly
ddelta_g = gravity_anomaly(lat, lon, h, 'WGS84', clm, slm, lmax, R, GM, METHOD='first')

Source code

geoid_toolkit.gravity_anomaly(lat, lon, h, refell, clm, slm, lmax, R, GM, METHOD='first', GAUSS=0)[source]

Calculates the gravity anomaly for a given method following Barthelmes [1], Hofmann-Wellenhof and Moritz [4], Moazezi and Zomorrodian [8], Molodensky [9]

Parameters:
lat: float

latitude in degrees

lon: float

longitude in degrees

h: float

ellipsoidal height in meters

refell: str

Reference ellipsoid name

  • 'CLK66': Clarke 1866

  • 'GRS67': Geodetic Reference System 1967

  • 'GRS80': Geodetic Reference System 1980

  • 'HGH80': Hughes 1980 Ellipsoid

  • 'WGS72': World Geodetic System 1972

  • 'WGS84': World Geodetic System 1984

  • 'ATS77': Quasi-earth centred ellipsoid for ATS77

  • 'NAD27': North American Datum 1927

  • 'NAD83': North American Datum 1983

  • 'INTER': International

  • 'KRASS': Krassovsky (USSR)

  • 'MAIRY': Modified Airy (Ireland 1965/1975)

  • 'TOPEX': TOPEX/POSEIDON ellipsoid

  • 'EGM96': EGM 1996 gravity model

clm: float

cosine spherical harmonics for a gravity model

slm: float

sine spherical harmonics for a gravity model

lmax: int

maximum spherical harmonic degree

R: float

average radius used in gravity model

GM: float

geocentric gravitational constant used in gravity model

METHOD: str

Method for calculating gravity anomalies

  • 'first': classic first approximation method

  • 'second': classic second approximation method

  • 'molodensky': Molodensky method [9]

GAUSS: float, default 0

Gaussian Smoothing Radius in km

Returns:
ddelta_g: float

gravity anomaly for a given ellipsoid in meters